A rock of mass m is tied to a string of length L and  swung in a horizontal circle of radius r. The string can with stand a maximum tension Tmax before it breaks. (a) What is the maximum speed vmax the rock can have without the string breaking? (b) The speed of the rock is now increased to 3vmax. The original single string is then replaced by N pieces that are all identical to the original string. What is the minimum value of N required so that the strings do not break? Ignore the force of gravity on the rock.

A cord connected at one end to a block which can slide on an inclined plane has its other end wrapped around a cylinder resting in a depression at the top of the plane as shown in ( Figure 1). Determine the speed of the block after it has traveled 1.40 m along the plane, starting from rest. Assume there is no friction. Express your answer using two significant figures. Figure M = 33 kg R=0.20 m 58° 1 of 1 ΜΕ ΑΣΦ = 0.844 2+ Submit Previous Answers Request Answer ? m/s × Incorrect; Try Again; 2 attempts remaining Part B Determine the speed of the block after it has traveled 1.40 along the plane, starting from rest. Assume the coefficient of friction between all surfaces is -00310. Since the block is much lighter than the cylinder, ignore tension in the string when calculating the normal force on the cylinder. Do not ignore tension in the string when calculating the net torque (including friction) on the cylinder Express your answer using two significant figures. v= ΜΕ ΑΣΦ Submit Request…

A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12300 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m) × v², where v denotes the boat's speed. Ignore any drag force on the cable. force: N & TOOLS x10

A mass mm is suspended from a massless spring of natural length 90 cm with the spring constant k=10 Nm-1 and causes the spring to extend by 8.6 cm.  Assuming the gravitational field strength g=9.8g, calculate the value of the mass on the spring.

An object with mass M slides across a frictionless half-circular slide of radius R. The object is initially held stationary at the top of the slide. The initial height is, hi = R. The mass is released and slides down, around the bottom, and back up the other side. The radius of the slide is R = 5.79 m and the mass of the object is M = 37 kg. When the object is moving up the slide, at an angle θ = 18o from the vertical, what is the normal force on the object?

A 200 kg mass hangs from a 300 m cable on Mars (g=3.71 m/s2). It is displaced left from equilibrium along an arc with length 30 m and released at t = 0.  What is its position relative to equilibrium when t = 20 s?  What is its acceleration?

A 1.5-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 10.6 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate v at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. 29 2.8' Answers: N = Ib i ft/sec?

A long limp spring is hung from a beam; the spring's bottom is 660 mm above the table. A 0.50 kg cylinder is hooked to the spring's bottom while the spring hangs relaxed. When the cylinder is dropped, it turns around just above the table, where the spring's bottom had been stretched to 10 mm above the table. What is the cylinder's velocity, half-way to the bottom turn-around?